Cambridge Additional Mathematics

Sets and Venn diagrams (Chapter 1) 21 6 Suppose U=Z+, P=ffactors of 12 g, Q=ffactors of 18 g, and R=ffactors of 27 g. a List the ...

22 Sets and Venn diagrams (Chapter 1) INTERSECTION A\B consists of all elements common to bothAandB. It is the shaded region whe ...

AB U e h f i j k b d g a c A C B U h j c d g k fe i l b a Sets and Venn diagrams (Chapter 1) 23 1 Represent setsAandBon a Venn d ...

24 Sets and Venn diagrams (Chapter 1) USING VENN DIAGRAMS TO ILLUSTRATE REGIONS We can use shading to show various sets on a Ven ...

PRINTABLE VENN DIAGRAMS (SUBSET) PRINTABLE VENN DIAGRAMS (3 SETS) VENN DIAGRAMS A B U A B U C We have already used Venn diagrams ...

26 Sets and Venn diagrams (Chapter 1) What to do: 1 With the aid of Venn diagrams, explain why the following laws are valid: a t ...

Sets and Venn diagrams (Chapter 1) 27 Venn diagrams allow us to easily visualise identities such as n(A\B^0 )=n(A)¡n(A\B) n(A^0 ...

28 Sets and Venn diagrams (Chapter 1) AB U (a) (b) (c) Bl Br U (a) (b) (c) (d_) Bl Br U (8) (11) (3) (5) 4 Use the Venn diagram ...

Sets and Venn diagrams (Chapter 1) 29 Example 11 Self Tutor A platform diving squad of 25 has 18 members who dive from 10 m and ...

30 Sets and Venn diagrams (Chapter 1) Example 12 Self Tutor Consider theOpening Problemon page 12 : A city has three football te ...

Sets and Venn diagrams (Chapter 1) 31 6 36 students participated in the mid-year adventure trip. 19 students went paragliding, 2 ...

4 Write using interval notation, and state whether the interval is closed, open, or neither: ab 5 Illustrate in the Cartesian pl ...

12 Consider the sets U=fx 2 Z+:x 610 g, P=fodd numbers less than 10 g, and Q=feven numbers less than 11 g. a List the setsPandQ. ...

34 Sets and Venn diagrams (Chapter 1) 9 In a car club, 13 members drive a manual and 15 members have a sunroof on their car. 5 h ...

Functions 2 Contents: A Relations and functions B Function notation C Domain and range D The modulus function E Composite functi ...

36 Functions (Chapter 2) The charges for parking a car in a short-term car park at an airport are shown in the table below. The ...

Functions (Chapter 2) 37 RELATIONS InChapter 1, we saw that: Arelationis any set of points which connect two variables. A relati ...

y O x 38 Functions (Chapter 2) Example 1 Self Tutor Which of the following relations are functions? abc a a function b a functio ...

Functions (Chapter 2) 39 ONE-ONE FUNCTIONS Aone-one functionis a function in which no two different ordered pairs have the samey ...

40 Functions (Chapter 2) EXERCISE 2A.2 1 Which of the following functions are one-one? abc de f 2 Determine whether the followin ...